Answers
With the help of Geometry We would make Australia 200 miles more wider.
What is geometry?
Geometry is a branch of mathematics that is concerned with the study of shapes, sizes, and relative positions of figures and the properties of space. It is one of the oldest branches of mathematics that has been around for centuries and is still relevant today. Geometry is used to explain many aspects of our lives, from the size of buildings and bridges to the path of a baseball in flight. It is a powerful tool for problem solving and understanding the world around us. Geometry is based on axioms, or accepted truths, that are used as the basis for forming logical proofs. These proofs are used to develop theorems and formulas which help us to understand and explain our world.
We would make Australia 200 miles more wider too or just give 200 miles long US to some other country to make their sizes equal.
Hence, we would make Australia 200 miles more wider
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Related Questions
Line segment AB is equal to 40cm. What is the length of the middle part in terms of x?
Answers
Answer:
Step-by-step explanation:
40/30=409
77% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. A) Find the mean of the binomial distribution. μ = ? (Round to the nearest tenth as needed.) B) Find the variance of the binomial distribution. σ2 = ? (Round to the nearest tenth as needed.) C) Find the standard deviation of the binomial distribution. σ = ? (Round to the nearest tenth as needed.) D) Interpret the results in the context of the real-life situation. Most samples of 6 adults would differ from the mean by no more than _____? .
Answers
Most samples of 6 adults would differ from mean by no more than 1.0
What role does math have in politics?In our culture, computer equations are also employed to define the systems that truly influence the social or political reality we live in. This kind of prescriptive usage of statistical equations is described.
Political mathematics: What is it?(a) The creation of approaches and procedures utilizing statistical as well as other mathematical treatments for the quantitative analysis of data in order to investigate political structures and behavior. Questions pertaining to probability models, probability theory, measurement, and data are included.
Here n=6
p=0.77
q=1-p=1-0.77=0.23
mean=np=6*0.77=4.62=4.6
variance=npq=6*0.77*0.23=1.0626=1.1
standard deviation=sqrt(variance)=sqrt(1.0626)= 1.030825=1.0
M = 4.6
o2 = 1.1
0= 1.0
Most samples of 6 adults would differ from mean by no more than 1.0
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I need the answers for the table below.
Answers
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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WORK OUT THE VALUE of 19+7⌹2-5
Answers
Answer:
17.5
Step-by-step explanation:
Remember PEMDAS
step 1 : divide 7 by 2
7 ÷ 2 = 3.5
step 2 : rewrite the equation
19 + 3.5 - 5
step 3 : add 19 + 3.5
19 + 3.5 = 22.5
step 4 : subtract 22.5 - 5
22.5 - 5 = 17.5
Which is true about the product of 3/8 and 7/2?
Answers
Answer:
Nothing ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎
Step-by-step explanation:
Answer:
Do you have the options? Or..
Need help pls ASAP 6th grade math
Answers
Answer:
don't know
Step-by-step explanation:
umm
How many students rank themselves as introverts? Demonstrate your work!!
Answers
Answer:
36 (maybe...)
Step-by-step explanation:
Technically there is no way to answer this question, it says that 120 ADULTS were surveyed and then asks how many STUDENTS rank themselves as introverts. But if we a supposed to assume that all adults are students:
The ratio of 3:7 means that for every 3 introverts, there are 7 extroverts.
In other words for every 10 people (total introvert+extrovert) there are 3 introverts.
So to find the number of introverts in the group of 120, just multiply by 3/10 or 0.3
The answer would be 36
2(a) Another 'think of a number' problem is represented by the equation below.
2w-1
5
Complete the steps below to show the mental calculations that were made.
I think of a number (call it w)
Step 1: Multiply it by 2
Step 2: multiply it by 1
-+w+2=2w
Step 3:multiply it by 5
Step 4:multiply it by 1
Step 5:multiply it by 8
The result is double the number I started with
Answers
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
(2w - 1) / 5 + w + 2 = 2w
Simplify the equation, then we have
(2w - 1) / 5 + w + 2 = 2w
(2w - 1) / 5 = w - 2
2w - 1 = 5w - 10
3w = 9
w = 3
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
More about the solution of the equation link is given below.
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The complete question is given below.
The area of a rectangle is 281.4 meters if the leaf is 15 meters what is the perimeter of the rectangle
Answers
Answer:
67.52
Step-by-step explanation:
281.4 divided by 15 equals 18.76
15+15=30
18.76+18.7=37.52
30+37.52=67.52
I need help with this if anyone got a answer tell me pls
Answers
Answer:
15
Step-by-step explanation:
30 + 4x=90
4x=60
x=15
if h(x) =5 for the function h(x) =2x+1, what is the value of x?
12
11
2
Answers
Answer:
2
Step-by-step explanation:
5=2x+1
5-1=2x
2x=4
x=2
Answer:
x = 2
Step-by-step explanation:
2x+1 = 5
-1 -1
-------------
2x = 4
x = 2
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a.-46x+23=46x+23
b.46x-23=46x+23
c.46x+23=46x+23
d.-46x-23=46x+23
Answers
What is the product?
(3a²b7)(5a³b³)
O 8a5b15
O 8a6b56
O 15a³b¹5
O 15a5b56
Answers
Answer:
15a^5 b^10
Step-by-step explanation:
The product is 15a⁵b¹⁰.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
When multiplying two terms with the same base, you add the exponents. Therefore:
(3a²b⁷)(5a³b³) = 3 x 5 x a⁵ x b ¹⁰
= 15a⁵b¹⁰.
To learn more about the exponents;
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Someone please help and show work
Answers
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
f(x)=x^2-6x-7
g(x)=3x+7
find (f o g) (0)
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Step-by-step explanation:
f(x) = (x-3)-16
g(x) =3x + 7
X= - 7
3
The TMV (total market value) of a new car with zero miles decreases by 9% the first minute after it leaves the car lot. Determine the TMV of a new car that was purchased for $29,500 the first minute after it leaves the car lot.
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Answer:2
Step-by-step explanation:
Am I correct?? Plz need help
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Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
Answers
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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y=.2x proportional or non-propertional
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Answer:
If the ratios are equivalent then the relationship is proportional. With the graph, the origin is 0,0 (the starting point). A straight line through the origin = proportional. equation is of the form y=kx (y=2x).
]
a Fibonacci sequence 0,1,1,2,3,5...
what is the 11th term in the sequence
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Fibbonaci sequecnce is
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ....
So eleventh number is 89.
you are painting a panel with a dimond shaped window, as shown. you have to put up tape around the edge of the window to keep the paint off. find the length of tape you need to the nearest inch
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In order to find the amount of tape needed, we need to find the perimeter of this quadrilateral. We can use the formula for the distance between two points to find the side lengths:
\(d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)Using the points (24, 37) and (28, 40), we have:
\(\begin{gathered} d=\sqrt[]{(40-37)^2+(28-24)^2} \\ d=\sqrt[]{3^2+4^2} \\ d=\sqrt[]{9+16} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}\)Using the points (28, 40) and (32, 37):
\(\begin{gathered} d=\sqrt[]{(37-40)^2+(32-28)^2} \\ d=\sqrt[]{(-3)^2+4^2} \\ d=\sqrt[]{25}=5 \end{gathered}\)Using the points (32, 37) and (28, 34):
\(\begin{gathered} d=\sqrt[]{(34-37)^2+(28-32)^2} \\ d=\sqrt[]{(-3)^2+(-4)^2} \\ d=\sqrt[]{25}=5 \end{gathered}\)Using the points (28, 34) and (24, 37):
\(\begin{gathered} d=\sqrt[]{(37-34)^2+(24-28)^2} \\ d=\sqrt[]{3^2+(-4)^2} \\ d=\sqrt[]{25}=5 \end{gathered}\)So all four sides of the figure have a length of 5 units, therefore the perimeter is:
\(P=5+5=5+5=20\text{ in}\)So the amount of tape needed is 20 inches.
the typical level of a low tide at a beach is the 0 point on a number line
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Answer:
The low tide level is 0, integer as 0
Step-by-step explanation:
The tide is at the numberline point 0, making it at integer 0.
Please let me know if I need to change the answer via comments (pls don't report me)
Please the answer ... Integral
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Answer:
\(\frac{dx^{2} (x+1)S^{2} }{2(x^{2} +6x+3)^{2} }+ C\)
Step-by-step explanation:
For every 2 hours, approximately $1,302 worth of product is sold to consumers. How much money will the company make from selling this product for an entire month (30 days)? what's the answer
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Answer:
391,248 dollars
Step-by-step explanation:
is K equal 4 a solution of 4 k plus 7equal 7 K-14k plus 7 equal 7k minus 1 ; k=4
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solve for k:
\(undefined\)How many degrees are there in 5/8 of a circle
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Answer:
Step-by-step explanation:
First the max degree is 360
Then multiply by 5/8
360 x 5/8 = 1800/8
1800/8 = 225
Answer: 225
Which linear equation is represented in the graph?
A. y = 2x – 1
B. y = –2x – 1
C. y = –2x + 1
D. y = 2x + 1
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The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle. (b) Approximate the percent error in computing the area of the triangle. Step 1 of 3 A Consider that the measurement base and the altitude of a triangle of a triangle is 36 and 50 centimeters, respectively. Also, the possible error in each measurement is 0.25 centimeter. Comment Step 2 of 3 A (a) Objective is to approximate the propagated error in computing the area of the triangle with the help of differential. For this note that the formulae for the area of triangle is: A= (bn) Here, b is the base of triangle and h is the height of triangle. Thus, b= 36, h = 50 And, db = dh = +0.25 To approximate the propagated error differentiate the area and get dA, dA= 2 1 = 56(dh) +=n(db) - }(50)x(+0.25)+} (36)*(+0.25) = +10.75 Thus area has propagate error of about 10.75 cm? Comment Step 3 of 3 A (b) The percent error can be calculated as follows: +b(dh) +hdb -x100 dA x 100 = 2 A 1 bh 2 21.50 -x100 1800 = 1.194 Hence, the required percent error is 1.194%
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The error in computing the area of triangle is 10.75 and the percentage error in computing the area of triangle is 1.194%.
Given that, base of the triangle is 36 cm (a)
Altitude of the triangle is 50 cm (b)
Error in each measurement is 0.25 cm
We know that, area of the triangle (s) = 1/2 * base * altitude
Let us consider base as ' a ' and altitude as ' b '
So, the maximum error of ' s ' can be calculated as
⇒ ds/da * da + ds/db * db
⇒ 1/2* b * da + 1/2 *a * db
⇒ 1/2* 36 * 0.25 + 1/2* 50* 0.25
⇒ 4.5 + 6.25 = 10.75
Now, let us calculate the percentage error in computing the area of the triangle.
dA/A * 100 = [(1/2* b* da + 1/2* a * db)/ 1/2* b *h] * 100
⇒ [(1/2* 36 * 0.25 + 1/2* 50 * 0.25)/ 1/2* 36 * 50] * 100
⇒ [ 21.5/ 1800 ] * 100
⇒ 1.194%
Thus, the error in computing the area of the triangle is 10.75 and the percentage error in computing the area of the triangle is 1.194%.
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A coordinate map of a college campus gives the coordinates (x,y) of three major buildings as follows: computer center, (3.5,-1.5); engineering lab, (0.5,0.5); andlibrary, (-1,-2.5). Find the equations in slope-intercept form of the lines connecting (a) the engineering lab and the computer center and (b) the engineering lab with the library. Are these two paths perpendicular to each other?
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Answer:
a) \(y = -\frac{2}{3}x + \frac{5}{6}\)
b) \(y = 2x - \frac{1}{2}\)
These two paths are not perpendicular to each other.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
\(y = mx + b\)
In which m is the slope of the line and b is the y-intercept.
If two lines are perpendicular, the multiplication of their slopes is -1.
(a) the engineering lab and the computer center
Coordinates (3.5,-1.5) and (0.5,0.5)
The slope is given by the change in y divided by the change in x.
Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2
Change in x: 0.5 - 3.5 = -3
Slope: \(m = \frac{2}{-3} = -\frac{2}{3}\)
So
\(y = -\frac{2}{3}x + b\)
Now, to find the y-intercept, we replace one of these points into the equation.
(0.5,0.5) means that when \(x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}\)
So
\(y = -\frac{2}{3}x + b\)
\(0.5 = -\frac{2}{3}(0.5) + b\)
\(b = \frac{1}{2} + \frac{1}[3}\)
\(b = \frac{5}{6}\)
So
\(y = -\frac{2}{3}x + \frac{5}{6}\)
(b) the engineering lab with the library.
(0.5,0.5) and (-1,-2.5).
First, we find the slope:
Change in y:-2.5 - 0.5 = -3
Change in x: -1 - 0.5 = -1.5
The slope is: \(m = \frac{-3}{-1.5} = 2\)
So \(y = 2x + b\)
Now we find b
\(y = 2x + b\)
\(0.5 = 2(0.5) + b\)
\(b = -0.5 = -\frac{1}{2}\)
So
\(y = 2x - \frac{1}{2}\)
The multiplication of their slopes, is
\(2*\frac{-2}{3} = -\frac{4}{3}\)
Since it is different of one, these paths are not perpendicular to each other.
Caroline went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 30 grams of sugar and each bottle of juice has 15 grams of sugar. Caroline purchased a total of 6 bottles of juice and soda which collectively contain 150 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, ∞, and the number of bottles of juice purchased, y.
Answers
The solution of the system of equations is the point of intersection (4, 2), as shown in the graph below.
Caroline bought 4 soda bottles.
Caroline bought 2 juice bottles.
How to Solve a System of Equations?In order to determine the solution to this problem, use the information given to create two equations.
Number of soda bottle = x.
Number of juice bottle = y.
First Equation for the total number of bottle that Kelvin bought
x + y = 6 --> eqn. 1
Second Equation 2 for the total sugar in the soda bottles and total sugar in juice bottles that equals 150 grams of sugar.
30x + 15y = 150
Simplify by dividing by 5
6x + 3y = 30 --> eqn. 2
Rewrite eqn. 1:
y = 6 - x
Solve simultaneously for the variables of x and y, by substituting the value of y into equation 2:
6x + 3(6 - x) = 30
6x + 18 - 3x = 30
3x + 18 = 30
3x = 30 - 18
3x = 12
3x/3 = 12/3
x = 4
Caroline bought 4 soda bottles.
Substitute x = 4 into equation 1 to find the value of y:
x + y = 6
4 + y = 6
y = 6 - 4
y = 2
Caroline bought 2 juice bottles.
The graph below shows the point of intersection, (4, 2), which is the solution.
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